%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP033+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:33:57 PM UTC 2026
% Result : Theorem 6.43s 1.67s
% Output : Refutation 7.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 59
% Syntax : Number of formulae : 423 ( 62 unt; 40 def)
% Number of atoms : 1888 ( 146 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 2572 (1107 ~;1250 |; 115 &)
% ( 55 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 61 ( 59 usr; 41 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 334 ( 0 sgn 321 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) )
=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) )
=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f52,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
=> k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tsp_2) ).
fof(f54,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v1_tsp_1(X2,X0)
& r1_tarski(X1,X2) )
=> X1 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tsp_2) ).
fof(f60,axiom,
! [X0,X1] :
( ( l1_pre_topc(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k2_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_tex_4) ).
fof(f65,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(f66,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f72,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f83,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f115,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(f116,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k4_tex_4(X0,X1) = k2_tex_4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_tex_4) ).
fof(f118,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f119,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f120,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f122,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X2 = u1_struct_0(X1)
=> ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_tsp_2) ).
fof(f124,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsep_1) ).
fof(f125,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( X3 = u1_struct_0(X1)
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) = k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) )
=> v3_borsuk_1(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_tsp_2) ).
fof(f126,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tex_4) ).
fof(f128,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f130,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f150,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_borsuk_1(X2,X0,X1)
& ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f151,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_borsuk_1(X2,X0,X1)
& ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f150]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f220]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f224,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f223]) ).
fof(f227,plain,
! [X0,X1] :
( m1_subset_1(k2_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f60]) ).
fof(f228,plain,
! [X0,X1] :
( m1_subset_1(k2_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f227]) ).
fof(f233,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f233]) ).
fof(f235,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f243,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f244,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f243]) ).
fof(f278,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f115]) ).
fof(f279,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f278]) ).
fof(f280,plain,
! [X0,X1] :
( k4_tex_4(X0,X1) = k2_tex_4(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f116]) ).
fof(f281,plain,
! [X0,X1] :
( k4_tex_4(X0,X1) = k2_tex_4(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f280]) ).
fof(f284,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f285,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f284]) ).
fof(f286,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f287,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f122]) ).
fof(f288,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f287]) ).
fof(f290,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f124]) ).
fof(f291,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v3_borsuk_1(X2,X0,X1)
| u1_struct_0(X1) != X3
| ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f125]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v3_borsuk_1(X2,X0,X1)
| u1_struct_0(X1) != X3
| ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f291]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f126]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f293]) ).
fof(f295,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f128]) ).
fof(f296,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f295]) ).
fof(f297,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f130]) ).
fof(f298,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f297]) ).
fof(f303,plain,
( ~ v3_borsuk_1(sK2,sK0,sK1)
& ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X3),k4_tex_4(sK0,X3))
| ~ m1_subset_1(X3,u1_struct_0(sK0)) )
& v1_funct_1(sK2)
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v5_pre_topc(sK2,sK0,sK1)
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& v2_tsp_2(sK1,sK0)
& m2_tsp_1(sK1,sK0)
& ~ v3_struct_0(sK0)
& v2_pre_topc(sK0)
& l1_pre_topc(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f151]) ).
fof(f304,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
| ? [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) != k1_struct_0(X0,X2)
& r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f221]) ).
fof(f305,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
| ? [X2] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) != k1_struct_0(X0,X2)
& r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X3] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3)) = k1_struct_0(X0,X3)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f304]) ).
fof(f306,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_1(X1,X0)
| ( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK3(X0,X1))) != k1_struct_0(X0,sK3(X0,X1))
& r2_hidden(sK3(X0,X1),X1)
& m1_subset_1(sK3(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X3] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3)) = k1_struct_0(X0,X3)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f305]) ).
fof(f310,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ? [X2] :
( X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f224]) ).
fof(f311,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ? [X2] :
( X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f310]) ).
fof(f312,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ? [X2] :
( X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X3] :
( X1 = X3
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f311]) ).
fof(f313,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ( sK5(X0,X1) != X1
& v1_tsp_1(sK5(X0,X1),X0)
& r1_tarski(X1,sK5(X0,X1))
& m1_subset_1(sK5(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X3] :
( X1 = X3
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f312]) ).
fof(f333,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f334,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f286]) ).
fof(f335,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_tsp_2(X2,X0)
| ~ v2_tsp_2(X1,X0) )
& ( v2_tsp_2(X1,X0)
| ~ v1_tsp_2(X2,X0) ) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f288]) ).
fof(f336,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v3_borsuk_1(X2,X0,X1)
| u1_struct_0(X1) != X3
| ( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK25(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK25(X0,X1,X2,X3)))
& m1_subset_1(sK25(X0,X1,X2,X3),u1_struct_0(X0)) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X4,sK25(X0,X1,X2,X3))],[f292]) ).
fof(f337,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k2_tex_4(X0,X1))
| k2_tex_4(X0,X1) != k2_tex_4(X0,X2) )
& ( k2_tex_4(X0,X2) = k2_tex_4(X0,X1)
| ~ r2_hidden(X2,k2_tex_4(X0,X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f294]) ).
fof(f339,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f303]) ).
fof(f340,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f303]) ).
fof(f341,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f303]) ).
fof(f342,plain,
m2_tsp_1(sK1,sK0),
inference(cnf_transformation,[],[f303]) ).
fof(f343,plain,
v2_tsp_2(sK1,sK0),
inference(cnf_transformation,[],[f303]) ).
fof(f344,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f303]) ).
fof(f345,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f303]) ).
fof(f346,plain,
v5_pre_topc(sK2,sK0,sK1),
inference(cnf_transformation,[],[f303]) ).
fof(f347,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f303]) ).
fof(f348,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f303]) ).
fof(f349,plain,
! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X3),k4_tex_4(sK0,X3))
| ~ m1_subset_1(X3,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f303]) ).
fof(f350,plain,
~ v3_borsuk_1(sK2,sK0,sK1),
inference(cnf_transformation,[],[f303]) ).
fof(f467,plain,
! [X3,X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3)) = k1_struct_0(X0,X3)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f475,plain,
! [X0,X1] :
( v1_tsp_1(X1,X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f481,plain,
! [X0,X1] :
( m1_subset_1(k2_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f228]) ).
fof(f485,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f486,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f489,plain,
! [X0,X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f506,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f601,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f279]) ).
fof(f602,plain,
! [X0,X1] :
( k2_tex_4(X0,X1) = k4_tex_4(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f281]) ).
fof(f604,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f605,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f333]) ).
fof(f607,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f334]) ).
fof(f611,plain,
! [X2,X0,X1] :
( v1_tsp_2(X2,X0)
| ~ v2_tsp_2(X1,X0)
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f335]) ).
fof(f613,plain,
! [X0,X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f614,plain,
! [X2,X3,X0,X1] :
( v3_borsuk_1(X2,X0,X1)
| u1_struct_0(X1) != X3
| m1_subset_1(sK25(X0,X1,X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f336]) ).
fof(f615,plain,
! [X2,X3,X0,X1] :
( v3_borsuk_1(X2,X0,X1)
| u1_struct_0(X1) != X3
| k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK25(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK25(X0,X1,X2,X3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f336]) ).
fof(f616,plain,
! [X2,X0,X1] :
( k2_tex_4(X0,X1) = k2_tex_4(X0,X2)
| ~ r2_hidden(X2,k2_tex_4(X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f617,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k2_tex_4(X0,X1))
| k2_tex_4(X0,X1) != k2_tex_4(X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f619,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f622,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f298]) ).
fof(f627,plain,
! [X0,X1] :
( v1_tsp_2(u1_struct_0(X1),X0)
| ~ v2_tsp_2(X1,X0)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f611]) ).
fof(f629,plain,
! [X2,X0,X1] :
( v3_borsuk_1(X2,X0,X1)
| k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k4_tex_4(X0,sK25(X0,X1,X2,u1_struct_0(X1)))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK25(X0,X1,X2,u1_struct_0(X1))))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f615]) ).
fof(f630,plain,
! [X2,X0,X1] :
( v3_borsuk_1(X2,X0,X1)
| m1_subset_1(sK25(X0,X1,X2,u1_struct_0(X1)),u1_struct_0(X0))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f614]) ).
fof(f636,definition,
( spl28_1
<=> m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f638,plain,
( m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f639,plain,
spl28_1,
inference(avatar_split_clause,[],[f345,f636]) ).
fof(f640,plain,
( v3_borsuk_1(sK2,sK0,sK1)
| m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK2,sK0,sK1)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1 ),
inference(resolution,[],[f638,f630]) ).
fof(f642,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl28_1 ),
inference(resolution,[],[f638,f605]) ).
fof(f645,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK2,sK0,sK1)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f640,f350]) ).
fof(f647,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK2,sK0,sK1)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f645,f348]) ).
fof(f649,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v5_pre_topc(sK2,sK0,sK1)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f647,f347]) ).
fof(f651,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f649,f346]) ).
fof(f653,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f651,f344]) ).
fof(f655,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f653,f343]) ).
fof(f657,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f655,f342]) ).
fof(f659,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f657,f341]) ).
fof(f661,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f659,f340]) ).
fof(f663,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f661,f339]) ).
fof(f665,definition,
( spl28_2
<=> v3_borsuk_1(sK2,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f667,plain,
( ~ v3_borsuk_1(sK2,sK0,sK1)
| spl28_2 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f668,plain,
~ spl28_2,
inference(avatar_split_clause,[],[f350,f665]) ).
fof(f670,definition,
( spl28_3
<=> v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).
fof(f672,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f673,plain,
spl28_3,
inference(avatar_split_clause,[],[f347,f670]) ).
fof(f675,definition,
( spl28_4
<=> m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl28_4])],[avatar_definition]) ).
fof(f676,plain,
( m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl28_4 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f683,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ l1_pre_topc(sK0)
| spl28_4 ),
inference(resolution,[],[f677,f613]) ).
fof(f687,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f683,f339]) ).
fof(f689,definition,
( spl28_6
<=> v3_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl28_6])],[avatar_definition]) ).
fof(f691,plain,
( ~ v3_struct_0(sK0)
| spl28_6 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f692,plain,
~ spl28_6,
inference(avatar_split_clause,[],[f341,f689]) ).
fof(f697,plain,
( ! [X0] :
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k1_funct_1(sK2,X0)
| v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_1(sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_3 ),
inference(resolution,[],[f672,f604]) ).
fof(f698,plain,
( ! [X0] :
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_1(sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_3 ),
inference(resolution,[],[f672,f485]) ).
fof(f699,plain,
( ! [X0] :
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_3 ),
inference(forward_subsumption_resolution,[],[f698,f348]) ).
fof(f700,plain,
( ! [X0] :
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k1_funct_1(sK2,X0)
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_3 ),
inference(forward_subsumption_resolution,[],[f697,f348]) ).
fof(f701,plain,
( ! [X0] :
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_1
| ~ spl28_3 ),
inference(forward_subsumption_resolution,[],[f699,f642]) ).
fof(f702,plain,
( ! [X0] :
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k1_funct_1(sK2,X0)
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_1
| ~ spl28_3 ),
inference(forward_subsumption_resolution,[],[f700,f642]) ).
fof(f704,definition,
( spl28_7
<=> m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_7])],[avatar_definition]) ).
fof(f706,plain,
( m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f707,plain,
( ~ spl28_4
| spl28_7
| ~ spl28_1 ),
inference(avatar_split_clause,[],[f663,f636,f704,f675]) ).
fof(f709,definition,
( spl28_8
<=> v3_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl28_8])],[avatar_definition]) ).
fof(f711,plain,
( ~ v3_struct_0(sK1)
| spl28_8 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f712,plain,
~ spl28_8,
inference(avatar_split_clause,[],[f344,f709]) ).
fof(f714,definition,
( spl28_9
<=> l1_pre_topc(sK0) ),
introduced(definition,[new_symbols(definition,[spl28_9])],[avatar_definition]) ).
fof(f716,plain,
( l1_pre_topc(sK0)
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f717,plain,
spl28_9,
inference(avatar_split_clause,[],[f339,f714]) ).
fof(f771,plain,
( l1_struct_0(sK0)
| ~ spl28_9 ),
inference(resolution,[],[f716,f486]) ).
fof(f809,plain,
( ! [X0] :
( k4_tex_4(sK0,X0) = k2_tex_4(sK0,X0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_9 ),
inference(resolution,[],[f716,f602]) ).
fof(f825,plain,
( ! [X0] :
( k4_tex_4(sK0,X0) = k2_tex_4(sK0,X0)
| ~ v2_pre_topc(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| spl28_6
| ~ spl28_9 ),
inference(forward_subsumption_resolution,[],[f809,f691]) ).
fof(f898,plain,
( ! [X0] :
( k4_tex_4(sK0,X0) = k2_tex_4(sK0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| spl28_6
| ~ spl28_9 ),
inference(forward_subsumption_resolution,[],[f825,f340]) ).
fof(f972,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| spl28_6 ),
inference(resolution,[],[f691,f506]) ).
fof(f995,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| spl28_6
| ~ spl28_9 ),
inference(forward_subsumption_resolution,[],[f972,f771]) ).
fof(f998,plain,
( ! [X0] :
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k1_funct_1(sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_1
| ~ spl28_3
| spl28_6
| ~ spl28_9 ),
inference(backward_subsumption_resolution,[],[f702,f995]) ).
fof(f999,plain,
( ! [X0] :
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_1
| ~ spl28_3
| spl28_6
| ~ spl28_9 ),
inference(backward_subsumption_resolution,[],[f701,f995]) ).
fof(f1001,definition,
( spl28_10
<=> ! [X0] :
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k1_funct_1(sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_10])],[avatar_definition]) ).
fof(f1002,plain,
( ! [X0] :
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k1_funct_1(sK2,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f1003,plain,
( spl28_10
| ~ spl28_1
| ~ spl28_3
| spl28_6
| ~ spl28_9 ),
inference(avatar_split_clause,[],[f998,f714,f689,f670,f636,f1001]) ).
fof(f1004,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| v3_borsuk_1(sK2,sK0,sK1)
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ spl28_10 ),
inference(superposition,[],[f629,f1002]) ).
fof(f1055,definition,
( spl28_12
<=> ! [X0] :
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_12])],[avatar_definition]) ).
fof(f1056,plain,
( ! [X0] :
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1057,plain,
( spl28_12
| ~ spl28_1
| ~ spl28_3
| spl28_6
| ~ spl28_9 ),
inference(avatar_split_clause,[],[f999,f714,f689,f670,f636,f1055]) ).
fof(f1139,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| ~ l1_struct_0(sK1)
| spl28_8 ),
inference(resolution,[],[f711,f506]) ).
fof(f1158,plain,
( ! [X0,X1] :
( v3_borsuk_1(X0,X1,sK1)
| m1_subset_1(sK25(X1,sK1,X0,u1_struct_0(sK1)),u1_struct_0(X1))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(sK1))
| ~ v5_pre_topc(X0,X1,sK1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(sK1))
| ~ v2_tsp_2(sK1,X1)
| ~ m2_tsp_1(sK1,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) )
| spl28_8 ),
inference(resolution,[],[f711,f630]) ).
fof(f1162,definition,
( spl28_13
<=> m2_tsp_1(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl28_13])],[avatar_definition]) ).
fof(f1164,plain,
( m2_tsp_1(sK1,sK0)
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1165,plain,
spl28_13,
inference(avatar_split_clause,[],[f342,f1162]) ).
fof(f1169,plain,
( v1_tsp_2(u1_struct_0(sK1),sK0)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_13 ),
inference(resolution,[],[f1164,f627]) ).
fof(f1170,plain,
( m1_pre_topc(sK1,sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_13 ),
inference(resolution,[],[f1164,f607]) ).
fof(f1171,plain,
( l1_pre_topc(sK1)
| ~ l1_pre_topc(sK0)
| ~ spl28_13 ),
inference(resolution,[],[f1164,f489]) ).
fof(f1172,plain,
( l1_pre_topc(sK1)
| ~ spl28_9
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1171,f716]) ).
fof(f1173,plain,
( ~ l1_pre_topc(sK0)
| spl28_4
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1170,f687]) ).
fof(f1225,plain,
( $false
| spl28_4
| ~ spl28_9
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1173,f716]) ).
fof(f1226,plain,
( spl28_4
| ~ spl28_9
| ~ spl28_13 ),
inference(avatar_contradiction_clause,[],[f1225]) ).
fof(f1227,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| v3_borsuk_1(sK2,sK0,sK1)
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_8
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f1004,f1158]) ).
fof(f1229,plain,
( v1_tsp_2(u1_struct_0(sK1),sK0)
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1169,f343]) ).
fof(f1232,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_2
| spl28_8
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f1227,f667]) ).
fof(f1233,plain,
( v1_tsp_2(u1_struct_0(sK1),sK0)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_4
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1229,f676]) ).
fof(f1236,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_2
| ~ spl28_4
| spl28_8
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f1232,f676]) ).
fof(f1237,plain,
( v1_tsp_2(u1_struct_0(sK1),sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_4
| spl28_6
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1233,f691]) ).
fof(f1240,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_2
| ~ spl28_4
| spl28_8
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f1236,f348]) ).
fof(f1241,plain,
( v1_tsp_2(u1_struct_0(sK1),sK0)
| ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1237,f716]) ).
fof(f1244,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ v5_pre_topc(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_8
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f1240,f672]) ).
fof(f1247,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_8
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f1244,f346]) ).
fof(f1250,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_8
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f1247,f638]) ).
fof(f1251,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ v2_tsp_2(sK1,sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_8
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f1250,f711]) ).
fof(f1252,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_8
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f1251,f343]) ).
fof(f1253,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_8
| ~ spl28_10
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1252,f1164]) ).
fof(f1254,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_1
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_6
| spl28_8
| ~ spl28_10
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1253,f691]) ).
fof(f1255,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ l1_pre_topc(sK0)
| ~ spl28_1
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_6
| spl28_8
| ~ spl28_10
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1254,f340]) ).
fof(f1256,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ spl28_1
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_6
| spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1255,f716]) ).
fof(f1259,plain,
( m1_subset_1(k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| ~ spl28_7 ),
inference(resolution,[],[f706,f481]) ).
fof(f1263,plain,
( k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_7 ),
inference(resolution,[],[f706,f602]) ).
fof(f1265,plain,
( ! [X0] :
( k2_tex_4(sK0,X0) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0) )
| ~ spl28_7 ),
inference(resolution,[],[f706,f616]) ).
fof(f1267,plain,
( ! [X0] :
( r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| k2_tex_4(sK0,X0) != k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0) )
| ~ spl28_7 ),
inference(resolution,[],[f706,f617]) ).
fof(f1284,plain,
( ! [X0,X1] :
( k8_funct_2(u1_struct_0(sK0),X0,X1,sK25(sK0,sK1,sK2,u1_struct_0(sK1))) = k1_funct_1(X1,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),X0)
| ~ m1_relset_1(X1,u1_struct_0(sK0),X0) )
| ~ spl28_7 ),
inference(resolution,[],[f706,f604]) ).
fof(f1287,plain,
( ! [X0,X1] :
( k8_funct_2(u1_struct_0(sK0),X0,X1,sK25(sK0,sK1,sK2,u1_struct_0(sK1))) = k1_funct_1(X1,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),X0)
| ~ m1_relset_1(X1,u1_struct_0(sK0),X0) )
| spl28_6
| ~ spl28_7
| ~ spl28_9 ),
inference(forward_subsumption_resolution,[],[f1284,f995]) ).
fof(f1289,plain,
( ! [X0] :
( r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| k2_tex_4(sK0,X0) != k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_pre_topc(sK0) )
| spl28_6
| ~ spl28_7 ),
inference(forward_subsumption_resolution,[],[f1267,f691]) ).
fof(f1291,plain,
( ! [X0] :
( k2_tex_4(sK0,X0) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_pre_topc(sK0) )
| spl28_6
| ~ spl28_7 ),
inference(forward_subsumption_resolution,[],[f1265,f691]) ).
fof(f1293,plain,
( k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_6
| ~ spl28_7 ),
inference(forward_subsumption_resolution,[],[f1263,f691]) ).
fof(f1297,plain,
( m1_subset_1(k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl28_7
| ~ spl28_9 ),
inference(forward_subsumption_resolution,[],[f1259,f716]) ).
fof(f1299,plain,
( ! [X0] :
( r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| k2_tex_4(sK0,X0) != k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| spl28_6
| ~ spl28_7
| ~ spl28_9 ),
inference(forward_subsumption_resolution,[],[f1289,f716]) ).
fof(f1301,plain,
( ! [X0] :
( k2_tex_4(sK0,X0) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| spl28_6
| ~ spl28_7
| ~ spl28_9 ),
inference(forward_subsumption_resolution,[],[f1291,f716]) ).
fof(f1303,plain,
( k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ l1_pre_topc(sK0)
| spl28_6
| ~ spl28_7 ),
inference(forward_subsumption_resolution,[],[f1293,f340]) ).
fof(f1308,plain,
( k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| spl28_6
| ~ spl28_7
| ~ spl28_9 ),
inference(forward_subsumption_resolution,[],[f1303,f716]) ).
fof(f1337,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) )
| ~ spl28_4 ),
inference(resolution,[],[f676,f467]) ).
fof(f1343,plain,
( v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ v1_tsp_2(u1_struct_0(sK1),sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_4 ),
inference(resolution,[],[f676,f475]) ).
fof(f1370,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl28_4 ),
inference(resolution,[],[f676,f622]) ).
fof(f1396,plain,
( v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1343,f1241]) ).
fof(f1402,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) )
| ~ spl28_4
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f1337,f691]) ).
fof(f1417,plain,
( v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1396,f716]) ).
fof(f1422,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ l1_pre_topc(sK0) )
| ~ spl28_4
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f1402,f340]) ).
fof(f1437,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_pre_topc(sK0) )
| ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1422,f1417]) ).
fof(f1438,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1437,f716]) ).
fof(f1439,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f1438,f1370]) ).
fof(f1441,definition,
( spl28_14
<=> k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) = k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl28_14])],[avatar_definition]) ).
fof(f1443,plain,
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| spl28_14 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1444,plain,
( ~ spl28_14
| ~ spl28_1
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_6
| spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_13 ),
inference(avatar_split_clause,[],[f1256,f1162,f1001,f714,f709,f689,f675,f670,f665,f636,f1441]) ).
fof(f1445,plain,
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| spl28_6
| ~ spl28_7
| ~ spl28_9
| spl28_14 ),
inference(forward_demodulation,[],[f1443,f1308]) ).
fof(f1488,definition,
( spl28_19
<=> k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl28_19])],[avatar_definition]) ).
fof(f1490,plain,
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| spl28_19 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f1491,plain,
( ~ spl28_19
| spl28_6
| ~ spl28_7
| ~ spl28_9
| spl28_14 ),
inference(avatar_split_clause,[],[f1445,f1441,f714,f704,f689,f1488]) ).
fof(f1492,plain,
( ! [X0] :
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0) )
| spl28_19 ),
inference(superposition,[],[f1490,f616]) ).
fof(f1497,plain,
( ! [X0] :
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0) )
| ~ spl28_7
| spl28_19 ),
inference(forward_subsumption_resolution,[],[f1492,f706]) ).
fof(f1500,plain,
( ! [X0] :
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_pre_topc(sK0) )
| spl28_6
| ~ spl28_7
| spl28_19 ),
inference(forward_subsumption_resolution,[],[f1497,f691]) ).
fof(f1502,plain,
( ! [X0] :
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| spl28_6
| ~ spl28_7
| ~ spl28_9
| spl28_19 ),
inference(forward_subsumption_resolution,[],[f1500,f716]) ).
fof(f1624,definition,
( spl28_25
<=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_25])],[avatar_definition]) ).
fof(f1626,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl28_25 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1627,plain,
( spl28_25
| ~ spl28_1 ),
inference(avatar_split_clause,[],[f642,f636,f1624]) ).
fof(f1632,definition,
( spl28_26
<=> ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl28_26])],[avatar_definition]) ).
fof(f1633,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k4_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl28_26 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1634,plain,
( spl28_26
| ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_13 ),
inference(avatar_split_clause,[],[f1439,f1162,f714,f689,f675,f1632]) ).
fof(f1636,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_26 ),
inference(superposition,[],[f1633,f602]) ).
fof(f1645,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| spl28_6
| ~ spl28_26 ),
inference(forward_subsumption_resolution,[],[f1636,f691]) ).
fof(f1647,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| spl28_6
| ~ spl28_26 ),
inference(forward_subsumption_resolution,[],[f1645,f340]) ).
fof(f1648,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| spl28_6
| ~ spl28_9
| ~ spl28_26 ),
inference(forward_subsumption_resolution,[],[f1647,f716]) ).
fof(f1649,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_26 ),
inference(forward_subsumption_resolution,[],[f1648,f1370]) ).
fof(f1651,definition,
( spl28_27
<=> v1_funct_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl28_27])],[avatar_definition]) ).
fof(f1653,plain,
( v1_funct_1(sK2)
| ~ spl28_27 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f1654,plain,
spl28_27,
inference(avatar_split_clause,[],[f348,f1651]) ).
fof(f1737,definition,
( spl28_31
<=> ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl28_31])],[avatar_definition]) ).
fof(f1738,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK1))
| m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_31 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f1739,plain,
( spl28_31
| ~ spl28_4 ),
inference(avatar_split_clause,[],[f1370,f675,f1737]) ).
fof(f1740,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) )
| ~ spl28_31 ),
inference(resolution,[],[f1738,f619]) ).
fof(f1755,definition,
( spl28_34
<=> m1_subset_1(k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl28_34])],[avatar_definition]) ).
fof(f1757,plain,
( m1_subset_1(k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl28_34 ),
inference(avatar_component_clause,[],[f1755]) ).
fof(f1758,plain,
( spl28_34
| ~ spl28_7
| ~ spl28_9 ),
inference(avatar_split_clause,[],[f1297,f714,f704,f1755]) ).
fof(f1806,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) )
| ~ spl28_34 ),
inference(resolution,[],[f1757,f622]) ).
fof(f2119,definition,
( spl28_37
<=> l1_pre_topc(sK1) ),
introduced(definition,[new_symbols(definition,[spl28_37])],[avatar_definition]) ).
fof(f2121,plain,
( l1_pre_topc(sK1)
| ~ spl28_37 ),
inference(avatar_component_clause,[],[f2119]) ).
fof(f2122,plain,
( spl28_37
| ~ spl28_9
| ~ spl28_13 ),
inference(avatar_split_clause,[],[f1172,f1162,f714,f2119]) ).
fof(f2248,definition,
( spl28_41
<=> ! [X0] :
( k4_tex_4(sK0,X0) = k2_tex_4(sK0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_41])],[avatar_definition]) ).
fof(f2249,plain,
( ! [X0] :
( k4_tex_4(sK0,X0) = k2_tex_4(sK0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_41 ),
inference(avatar_component_clause,[],[f2248]) ).
fof(f2250,plain,
( spl28_41
| spl28_6
| ~ spl28_9 ),
inference(avatar_split_clause,[],[f898,f714,f689,f2248]) ).
fof(f2275,definition,
( spl28_43
<=> ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X3),k4_tex_4(sK0,X3))
| ~ m1_subset_1(X3,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_43])],[avatar_definition]) ).
fof(f2276,plain,
( ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X3),k4_tex_4(sK0,X3))
| ~ m1_subset_1(X3,u1_struct_0(sK0)) )
| ~ spl28_43 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f2277,plain,
spl28_43,
inference(avatar_split_clause,[],[f349,f2275]) ).
fof(f2289,plain,
( ! [X0] :
( r2_hidden(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_41
| ~ spl28_43 ),
inference(superposition,[],[f2276,f2249]) ).
fof(f2292,plain,
( ! [X0] :
( r2_hidden(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_41
| ~ spl28_43 ),
inference(duplicate_literal_removal,[],[f2289]) ).
fof(f2318,definition,
( spl28_45
<=> ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl28_45])],[avatar_definition]) ).
fof(f2319,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) = k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl28_45 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f2320,plain,
( spl28_45
| ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_26 ),
inference(avatar_split_clause,[],[f1649,f1632,f714,f689,f675,f2318]) ).
fof(f2436,definition,
( spl28_47
<=> ! [X0] :
( k2_tex_4(sK0,X0) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_47])],[avatar_definition]) ).
fof(f2437,plain,
( ! [X0] :
( k2_tex_4(sK0,X0) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_47 ),
inference(avatar_component_clause,[],[f2436]) ).
fof(f2438,plain,
( spl28_47
| spl28_6
| ~ spl28_7
| ~ spl28_9 ),
inference(avatar_split_clause,[],[f1301,f714,f704,f689,f2436]) ).
fof(f2439,plain,
( ! [X0] :
( k2_tex_4(sK0,X0) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) )
| ~ spl28_34
| ~ spl28_47 ),
inference(forward_subsumption_resolution,[],[f2437,f1806]) ).
fof(f2441,definition,
( spl28_48
<=> ! [X0] :
( k2_tex_4(sK0,X0) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) ) ),
introduced(definition,[new_symbols(definition,[spl28_48])],[avatar_definition]) ).
fof(f2442,plain,
( ! [X0] :
( k2_tex_4(sK0,X0) = k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) )
| ~ spl28_48 ),
inference(avatar_component_clause,[],[f2441]) ).
fof(f2443,plain,
( spl28_48
| ~ spl28_34
| ~ spl28_47 ),
inference(avatar_split_clause,[],[f2439,f2436,f1755,f2441]) ).
fof(f2557,plain,
( l1_struct_0(sK1)
| ~ spl28_37 ),
inference(resolution,[],[f2121,f486]) ).
fof(f2628,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| spl28_8
| ~ spl28_37 ),
inference(backward_subsumption_resolution,[],[f1139,f2557]) ).
fof(f2661,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) )
| spl28_8
| ~ spl28_31
| ~ spl28_37 ),
inference(backward_subsumption_resolution,[],[f1740,f2628]) ).
fof(f2665,definition,
( spl28_50
<=> m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_50])],[avatar_definition]) ).
fof(f2666,plain,
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| ~ spl28_50 ),
inference(avatar_component_clause,[],[f2665]) ).
fof(f2667,plain,
( ~ m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| spl28_50 ),
inference(avatar_component_clause,[],[f2665]) ).
fof(f2673,plain,
( ~ m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ spl28_12
| spl28_50 ),
inference(resolution,[],[f2667,f1056]) ).
fof(f2682,plain,
( $false
| ~ spl28_7
| ~ spl28_12
| spl28_50 ),
inference(forward_subsumption_resolution,[],[f2673,f706]) ).
fof(f2683,plain,
( ~ spl28_7
| ~ spl28_12
| spl28_50 ),
inference(avatar_contradiction_clause,[],[f2682]) ).
fof(f3033,definition,
( spl28_64
<=> l1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl28_64])],[avatar_definition]) ).
fof(f3035,plain,
( l1_struct_0(sK1)
| ~ spl28_64 ),
inference(avatar_component_clause,[],[f3033]) ).
fof(f3036,plain,
( spl28_64
| ~ spl28_37 ),
inference(avatar_split_clause,[],[f2557,f2119,f3033]) ).
fof(f3111,definition,
( spl28_70
<=> ! [X0] :
( r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| k2_tex_4(sK0,X0) != k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_70])],[avatar_definition]) ).
fof(f3112,plain,
( ! [X0] :
( k2_tex_4(sK0,X0) != k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_70 ),
inference(avatar_component_clause,[],[f3111]) ).
fof(f3113,plain,
( spl28_70
| spl28_6
| ~ spl28_7
| ~ spl28_9 ),
inference(avatar_split_clause,[],[f1299,f714,f704,f689,f3111]) ).
fof(f3115,plain,
( ! [X0] :
( k2_tex_4(sK0,X0) != k2_tex_4(sK0,X0)
| r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) )
| ~ spl28_48
| ~ spl28_70 ),
inference(superposition,[],[f3112,f2442]) ).
fof(f3124,plain,
( ! [X0] :
( r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) )
| ~ spl28_48
| ~ spl28_70 ),
inference(trivial_inequality_removal,[],[f3115]) ).
fof(f3128,plain,
( ! [X0] :
( r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) )
| ~ spl28_7
| ~ spl28_48
| ~ spl28_70 ),
inference(forward_subsumption_resolution,[],[f3124,f706]) ).
fof(f3152,definition,
( spl28_72
<=> ! [X0] :
( r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) ) ),
introduced(definition,[new_symbols(definition,[spl28_72])],[avatar_definition]) ).
fof(f3153,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_tex_4(sK0,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0)) )
| ~ spl28_72 ),
inference(avatar_component_clause,[],[f3152]) ).
fof(f3154,plain,
( spl28_72
| ~ spl28_7
| ~ spl28_48
| ~ spl28_70 ),
inference(avatar_split_clause,[],[f3128,f3111,f2441,f704,f3152]) ).
fof(f3170,definition,
( spl28_73
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl28_73])],[avatar_definition]) ).
fof(f3172,plain,
( l1_struct_0(sK0)
| ~ spl28_73 ),
inference(avatar_component_clause,[],[f3170]) ).
fof(f3173,plain,
( spl28_73
| ~ spl28_9 ),
inference(avatar_split_clause,[],[f771,f714,f3170]) ).
fof(f3333,definition,
( spl28_79
<=> ! [X0,X1] :
( k8_funct_2(u1_struct_0(sK0),X0,X1,sK25(sK0,sK1,sK2,u1_struct_0(sK1))) = k1_funct_1(X1,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),X0)
| ~ m1_relset_1(X1,u1_struct_0(sK0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_79])],[avatar_definition]) ).
fof(f3334,plain,
( ! [X0,X1] :
( k8_funct_2(u1_struct_0(sK0),X0,X1,sK25(sK0,sK1,sK2,u1_struct_0(sK1))) = k1_funct_1(X1,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),X0)
| ~ m1_relset_1(X1,u1_struct_0(sK0),X0) )
| ~ spl28_79 ),
inference(avatar_component_clause,[],[f3333]) ).
fof(f3335,plain,
( spl28_79
| spl28_6
| ~ spl28_7
| ~ spl28_9 ),
inference(avatar_split_clause,[],[f1287,f714,f704,f689,f3333]) ).
fof(f3340,plain,
( m1_subset_1(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl28_50
| ~ spl28_79 ),
inference(superposition,[],[f2666,f3334]) ).
fof(f3351,plain,
( m1_subset_1(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl28_27
| ~ spl28_50
| ~ spl28_79 ),
inference(forward_subsumption_resolution,[],[f3340,f1653]) ).
fof(f3355,plain,
( m1_subset_1(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl28_3
| ~ spl28_27
| ~ spl28_50
| ~ spl28_79 ),
inference(forward_subsumption_resolution,[],[f3351,f672]) ).
fof(f3359,plain,
( m1_subset_1(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| ~ spl28_3
| ~ spl28_25
| ~ spl28_27
| ~ spl28_50
| ~ spl28_79 ),
inference(forward_subsumption_resolution,[],[f3355,f1626]) ).
fof(f3368,definition,
( spl28_80
<=> m1_subset_1(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_80])],[avatar_definition]) ).
fof(f3370,plain,
( m1_subset_1(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| ~ spl28_80 ),
inference(avatar_component_clause,[],[f3368]) ).
fof(f3371,plain,
( spl28_80
| ~ spl28_3
| ~ spl28_25
| ~ spl28_27
| ~ spl28_50
| ~ spl28_79 ),
inference(avatar_split_clause,[],[f3359,f3333,f2665,f1651,f1624,f670,f3368]) ).
fof(f3377,plain,
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) = k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl28_80 ),
inference(resolution,[],[f3370,f601]) ).
fof(f3400,plain,
( v1_xboole_0(u1_struct_0(sK1))
| r2_hidden(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| ~ spl28_80 ),
inference(resolution,[],[f3370,f619]) ).
fof(f3401,plain,
( r2_hidden(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| spl28_8
| ~ spl28_37
| ~ spl28_80 ),
inference(forward_subsumption_resolution,[],[f3400,f2628]) ).
fof(f3409,plain,
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) = k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ l1_struct_0(sK1)
| spl28_8
| ~ spl28_80 ),
inference(forward_subsumption_resolution,[],[f3377,f711]) ).
fof(f3419,plain,
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) = k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| spl28_8
| ~ spl28_64
| ~ spl28_80 ),
inference(forward_subsumption_resolution,[],[f3409,f3035]) ).
fof(f3856,definition,
( spl28_91
<=> ! [X0] :
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_91])],[avatar_definition]) ).
fof(f3857,plain,
( ! [X0] :
( k1_struct_0(sK1,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_91 ),
inference(avatar_component_clause,[],[f3856]) ).
fof(f3858,plain,
( spl28_91
| spl28_6
| ~ spl28_7
| ~ spl28_9
| spl28_19 ),
inference(avatar_split_clause,[],[f1502,f1488,f714,f704,f689,f3856]) ).
fof(f3859,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0)) != k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| spl28_8
| ~ spl28_64
| ~ spl28_80
| ~ spl28_91 ),
inference(forward_demodulation,[],[f3857,f3419]) ).
fof(f4187,definition,
( spl28_97
<=> ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl28_97])],[avatar_definition]) ).
fof(f4188,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_97 ),
inference(avatar_component_clause,[],[f4187]) ).
fof(f4189,plain,
( spl28_97
| spl28_8
| ~ spl28_31
| ~ spl28_37 ),
inference(avatar_split_clause,[],[f2661,f2119,f1737,f709,f4187]) ).
fof(f4196,plain,
( m1_subset_1(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK0))
| ~ spl28_80
| ~ spl28_97 ),
inference(resolution,[],[f4188,f3370]) ).
fof(f4655,definition,
( spl28_112
<=> m1_subset_1(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_112])],[avatar_definition]) ).
fof(f4657,plain,
( m1_subset_1(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK0))
| ~ spl28_112 ),
inference(avatar_component_clause,[],[f4655]) ).
fof(f4658,plain,
( spl28_112
| ~ spl28_80
| ~ spl28_97 ),
inference(avatar_split_clause,[],[f4196,f4187,f3368,f4655]) ).
fof(f4664,plain,
( k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) = k1_struct_0(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl28_112 ),
inference(resolution,[],[f4657,f601]) ).
fof(f4696,plain,
( k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) = k1_struct_0(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ l1_struct_0(sK0)
| spl28_6
| ~ spl28_112 ),
inference(forward_subsumption_resolution,[],[f4664,f691]) ).
fof(f4706,plain,
( k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) = k1_struct_0(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| spl28_6
| ~ spl28_73
| ~ spl28_112 ),
inference(forward_subsumption_resolution,[],[f4696,f3172]) ).
fof(f4717,definition,
( spl28_113
<=> k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) = k1_struct_0(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl28_113])],[avatar_definition]) ).
fof(f4719,plain,
( k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) = k1_struct_0(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ spl28_113 ),
inference(avatar_component_clause,[],[f4717]) ).
fof(f4720,plain,
( spl28_113
| spl28_6
| ~ spl28_73
| ~ spl28_112 ),
inference(avatar_split_clause,[],[f4706,f4655,f3170,f689,f4717]) ).
fof(f6402,definition,
( spl28_150
<=> ! [X0] :
( r2_hidden(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_150])],[avatar_definition]) ).
fof(f6403,plain,
( ! [X0] :
( r2_hidden(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_150 ),
inference(avatar_component_clause,[],[f6402]) ).
fof(f6404,plain,
( spl28_150
| ~ spl28_41
| ~ spl28_43 ),
inference(avatar_split_clause,[],[f2292,f2275,f2248,f6402]) ).
fof(f6406,plain,
( ~ m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))))
| ~ spl28_72
| ~ spl28_150 ),
inference(resolution,[],[f6403,f3153]) ).
fof(f6450,plain,
( r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))))
| ~ spl28_7
| ~ spl28_72
| ~ spl28_150 ),
inference(forward_subsumption_resolution,[],[f6406,f706]) ).
fof(f6461,definition,
( spl28_151
<=> r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))) ),
introduced(definition,[new_symbols(definition,[spl28_151])],[avatar_definition]) ).
fof(f6463,plain,
( r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))))
| ~ spl28_151 ),
inference(avatar_component_clause,[],[f6461]) ).
fof(f6464,plain,
( spl28_151
| ~ spl28_7
| ~ spl28_72
| ~ spl28_150 ),
inference(avatar_split_clause,[],[f6450,f6402,f3152,f704,f6461]) ).
fof(f6474,plain,
( r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))))
| ~ m1_subset_1(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),u1_struct_0(sK0))
| ~ spl28_10
| ~ spl28_151 ),
inference(superposition,[],[f6463,f1002]) ).
fof(f6490,plain,
( r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))))
| ~ spl28_7
| ~ spl28_10
| ~ spl28_151 ),
inference(forward_subsumption_resolution,[],[f6474,f706]) ).
fof(f6497,definition,
( spl28_152
<=> r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))) ),
introduced(definition,[new_symbols(definition,[spl28_152])],[avatar_definition]) ).
fof(f6499,plain,
( r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))))
| ~ spl28_152 ),
inference(avatar_component_clause,[],[f6497]) ).
fof(f6500,plain,
( spl28_152
| ~ spl28_7
| ~ spl28_10
| ~ spl28_151 ),
inference(avatar_split_clause,[],[f6490,f6461,f1001,f704,f6497]) ).
fof(f6530,definition,
( spl28_153
<=> ! [X0] :
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0)) != k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_153])],[avatar_definition]) ).
fof(f6531,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(sK0),u1_struct_0(sK1),k2_tex_4(sK0,X0)) != k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl28_153 ),
inference(avatar_component_clause,[],[f6530]) ).
fof(f6532,plain,
( spl28_153
| spl28_8
| ~ spl28_64
| ~ spl28_80
| ~ spl28_91 ),
inference(avatar_split_clause,[],[f3859,f3856,f3368,f3033,f709,f6530]) ).
fof(f6544,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) != k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl28_45
| ~ spl28_153 ),
inference(superposition,[],[f6531,f2319]) ).
fof(f6557,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) != k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl28_31
| ~ spl28_45
| ~ spl28_153 ),
inference(forward_subsumption_resolution,[],[f6544,f1738]) ).
fof(f6563,definition,
( spl28_154
<=> ! [X0] :
( k1_struct_0(sK0,X0) != k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl28_154])],[avatar_definition]) ).
fof(f6564,plain,
( ! [X0] :
( k1_struct_0(sK0,X0) != k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,X0))
| ~ r2_hidden(X0,u1_struct_0(sK1)) )
| ~ spl28_154 ),
inference(avatar_component_clause,[],[f6563]) ).
fof(f6565,plain,
( spl28_154
| ~ spl28_31
| ~ spl28_45
| ~ spl28_153 ),
inference(avatar_split_clause,[],[f6557,f6530,f2318,f1737,f6563]) ).
fof(f6567,plain,
( k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))) != k1_tarski(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))))
| ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))))
| ~ r2_hidden(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| ~ spl28_113
| ~ spl28_154 ),
inference(superposition,[],[f6564,f4719]) ).
fof(f6570,plain,
( ~ r2_hidden(sK25(sK0,sK1,sK2,u1_struct_0(sK1)),k2_tex_4(sK0,k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1)))))
| ~ r2_hidden(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| ~ spl28_113
| ~ spl28_154 ),
inference(trivial_inequality_removal,[],[f6567]) ).
fof(f6573,plain,
( ~ r2_hidden(k1_funct_1(sK2,sK25(sK0,sK1,sK2,u1_struct_0(sK1))),u1_struct_0(sK1))
| ~ spl28_113
| ~ spl28_152
| ~ spl28_154 ),
inference(forward_subsumption_resolution,[],[f6570,f6499]) ).
fof(f6576,plain,
( $false
| spl28_8
| ~ spl28_37
| ~ spl28_80
| ~ spl28_113
| ~ spl28_152
| ~ spl28_154 ),
inference(forward_subsumption_resolution,[],[f6573,f3401]) ).
fof(f6577,plain,
( spl28_8
| ~ spl28_37
| ~ spl28_80
| ~ spl28_113
| ~ spl28_152
| ~ spl28_154 ),
inference(avatar_contradiction_clause,[],[f6576]) ).
cnf(s1,plain,
spl28_1,
inference(sat_conversion,[],[f639]) ).
cnf(s2,plain,
~ spl28_2,
inference(sat_conversion,[],[f668]) ).
cnf(s3,plain,
spl28_3,
inference(sat_conversion,[],[f673]) ).
cnf(s5,plain,
~ spl28_6,
inference(sat_conversion,[],[f692]) ).
cnf(s6,plain,
( ~ spl28_1
| ~ spl28_4
| spl28_7 ),
inference(sat_conversion,[],[f707]) ).
cnf(s7,plain,
~ spl28_8,
inference(sat_conversion,[],[f712]) ).
cnf(s8,plain,
spl28_9,
inference(sat_conversion,[],[f717]) ).
cnf(s9,plain,
( ~ spl28_1
| ~ spl28_3
| spl28_6
| ~ spl28_9
| spl28_10 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s11,plain,
( ~ spl28_1
| ~ spl28_3
| spl28_6
| ~ spl28_9
| spl28_12 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s12,plain,
spl28_13,
inference(sat_conversion,[],[f1165]) ).
cnf(s13,plain,
( spl28_4
| ~ spl28_9
| ~ spl28_13 ),
inference(sat_conversion,[],[f1226]) ).
cnf(s14,plain,
( ~ spl28_1
| spl28_2
| ~ spl28_3
| ~ spl28_4
| spl28_6
| spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_13
| ~ spl28_14 ),
inference(sat_conversion,[],[f1444]) ).
cnf(s19,plain,
( spl28_6
| ~ spl28_7
| ~ spl28_9
| spl28_14
| ~ spl28_19 ),
inference(sat_conversion,[],[f1491]) ).
cnf(s25,plain,
( ~ spl28_1
| spl28_25 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s26,plain,
( ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_13
| spl28_26 ),
inference(sat_conversion,[],[f1634]) ).
cnf(s27,plain,
spl28_27,
inference(sat_conversion,[],[f1654]) ).
cnf(s31,plain,
( ~ spl28_4
| spl28_31 ),
inference(sat_conversion,[],[f1739]) ).
cnf(s34,plain,
( ~ spl28_7
| ~ spl28_9
| spl28_34 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s37,plain,
( ~ spl28_9
| ~ spl28_13
| spl28_37 ),
inference(sat_conversion,[],[f2122]) ).
cnf(s41,plain,
( spl28_6
| ~ spl28_9
| spl28_41 ),
inference(sat_conversion,[],[f2250]) ).
cnf(s43,plain,
spl28_43,
inference(sat_conversion,[],[f2277]) ).
cnf(s45,plain,
( ~ spl28_4
| spl28_6
| ~ spl28_9
| ~ spl28_26
| spl28_45 ),
inference(sat_conversion,[],[f2320]) ).
cnf(s47,plain,
( spl28_6
| ~ spl28_7
| ~ spl28_9
| spl28_47 ),
inference(sat_conversion,[],[f2438]) ).
cnf(s48,plain,
( ~ spl28_34
| ~ spl28_47
| spl28_48 ),
inference(sat_conversion,[],[f2443]) ).
cnf(s51,plain,
( ~ spl28_7
| ~ spl28_12
| spl28_50 ),
inference(sat_conversion,[],[f2683]) ).
cnf(s66,plain,
( ~ spl28_37
| spl28_64 ),
inference(sat_conversion,[],[f3036]) ).
cnf(s72,plain,
( spl28_6
| ~ spl28_7
| ~ spl28_9
| spl28_70 ),
inference(sat_conversion,[],[f3113]) ).
cnf(s74,plain,
( ~ spl28_7
| ~ spl28_48
| ~ spl28_70
| spl28_72 ),
inference(sat_conversion,[],[f3154]) ).
cnf(s75,plain,
( ~ spl28_9
| spl28_73 ),
inference(sat_conversion,[],[f3173]) ).
cnf(s81,plain,
( spl28_6
| ~ spl28_7
| ~ spl28_9
| spl28_79 ),
inference(sat_conversion,[],[f3335]) ).
cnf(s82,plain,
( ~ spl28_3
| ~ spl28_25
| ~ spl28_27
| ~ spl28_50
| ~ spl28_79
| spl28_80 ),
inference(sat_conversion,[],[f3371]) ).
cnf(s93,plain,
( spl28_6
| ~ spl28_7
| ~ spl28_9
| spl28_19
| spl28_91 ),
inference(sat_conversion,[],[f3858]) ).
cnf(s98,plain,
( spl28_8
| ~ spl28_31
| ~ spl28_37
| spl28_97 ),
inference(sat_conversion,[],[f4189]) ).
cnf(s113,plain,
( ~ spl28_80
| ~ spl28_97
| spl28_112 ),
inference(sat_conversion,[],[f4658]) ).
cnf(s114,plain,
( spl28_6
| ~ spl28_73
| ~ spl28_112
| spl28_113 ),
inference(sat_conversion,[],[f4720]) ).
cnf(s151,plain,
( ~ spl28_41
| ~ spl28_43
| spl28_150 ),
inference(sat_conversion,[],[f6404]) ).
cnf(s152,plain,
( ~ spl28_7
| ~ spl28_72
| ~ spl28_150
| spl28_151 ),
inference(sat_conversion,[],[f6464]) ).
cnf(s153,plain,
( ~ spl28_7
| ~ spl28_10
| ~ spl28_151
| spl28_152 ),
inference(sat_conversion,[],[f6500]) ).
cnf(s154,plain,
( spl28_8
| ~ spl28_64
| ~ spl28_80
| ~ spl28_91
| spl28_153 ),
inference(sat_conversion,[],[f6532]) ).
cnf(s155,plain,
( ~ spl28_31
| ~ spl28_45
| ~ spl28_153
| spl28_154 ),
inference(sat_conversion,[],[f6565]) ).
cnf(s156,plain,
( spl28_8
| ~ spl28_37
| ~ spl28_80
| ~ spl28_113
| ~ spl28_152
| ~ spl28_154 ),
inference(sat_conversion,[],[f6577]) ).
cnf(s164,plain,
spl28_73,
inference(rat,[],[s75,s8]) ).
cnf(s166,plain,
spl28_37,
inference(rat,[],[s37,s12,s8]) ).
cnf(s167,plain,
spl28_4,
inference(rat,[],[s13,s12,s8]) ).
cnf(s172,plain,
spl28_64,
inference(rat,[],[s66,s166]) ).
cnf(s176,plain,
spl28_31,
inference(rat,[],[s31,s167]) ).
cnf(s184,plain,
spl28_97,
inference(rat,[],[s98,s176,s166,s7]) ).
cnf(s199,plain,
( ~ spl28_1
| spl28_7 ),
inference(rat,[],[s6,s167]) ).
cnf(s213,plain,
spl28_41,
inference(rat,[],[s41,s8,s5]) ).
cnf(s217,plain,
spl28_26,
inference(rat,[],[s26,s167,s12,s8,s5]) ).
cnf(s221,plain,
spl28_150,
inference(rat,[],[s151,s43,s213]) ).
cnf(s224,plain,
spl28_45,
inference(rat,[],[s45,s5,s167,s8,s217]) ).
cnf(s227,plain,
spl28_25,
inference(rat,[],[s25,s1]) ).
cnf(s229,plain,
spl28_12,
inference(rat,[],[s11,s3,s8,s5,s1]) ).
cnf(s230,plain,
spl28_10,
inference(rat,[],[s9,s3,s8,s5,s1]) ).
cnf(s231,plain,
spl28_7,
inference(rat,[],[s199,s1]) ).
cnf(s238,plain,
~ spl28_14,
inference(rat,[],[s14,s1,s12,s2,s8,s7,s5,s167,s3,s230]) ).
cnf(s242,plain,
spl28_79,
inference(rat,[],[s81,s5,s8,s231]) ).
cnf(s243,plain,
spl28_70,
inference(rat,[],[s72,s5,s8,s231]) ).
cnf(s244,plain,
spl28_50,
inference(rat,[],[s51,s229,s231]) ).
cnf(s245,plain,
spl28_47,
inference(rat,[],[s47,s5,s8,s231]) ).
cnf(s246,plain,
spl28_34,
inference(rat,[],[s34,s8,s231]) ).
cnf(s258,plain,
~ spl28_19,
inference(rat,[],[s19,s231,s5,s8,s238]) ).
cnf(s262,plain,
spl28_80,
inference(rat,[],[s82,s242,s227,s3,s27,s244]) ).
cnf(s265,plain,
spl28_48,
inference(rat,[],[s48,s245,s246]) ).
cnf(s271,plain,
spl28_91,
inference(rat,[],[s93,s231,s5,s8,s258]) ).
cnf(s273,plain,
spl28_112,
inference(rat,[],[s113,s184,s262]) ).
cnf(s276,plain,
spl28_72,
inference(rat,[],[s74,s243,s231,s265]) ).
cnf(s281,plain,
spl28_153,
inference(rat,[],[s154,s262,s7,s172,s271]) ).
cnf(s283,plain,
spl28_113,
inference(rat,[],[s114,s5,s164,s273]) ).
cnf(s285,plain,
spl28_151,
inference(rat,[],[s152,s231,s221,s276]) ).
cnf(s287,plain,
spl28_154,
inference(rat,[],[s155,s224,s176,s281]) ).
cnf(s288,plain,
~ spl28_152,
inference(rat,[],[s156,s287,s262,s7,s166,s283]) ).
cnf(s289,plain,
$false,
inference(rat,[],[s153,s231,s230,s288,s285]) ).
fof(f6578,plain,
$false,
inference(avatar_sat_refutation,[],[s289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP033+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n007.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 18:53:11 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.43/1.67 % (2685226)Detected formulas, will run a generic FOF schedule.
% 6.43/1.67 % (2685233)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1213593437:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.43/1.67 % (2685231)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3010699031:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.43/1.67 % (2685236)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2688808558:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.43/1.67 % (2685235)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1011087843:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.43/1.67 % (2685232)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4048946694:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.43/1.67 % (2685234)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3871770921:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.43/1.67 % (2685234)Refutation not found, incomplete strategy
% 6.43/1.67 % (2685234)------------------------------
% 6.43/1.67 % (2685234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685234)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685234)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.67 % (2685234)Time elapsed: 0.004 s
% 6.43/1.67 % (2685234)Peak memory usage: 88 MB
% 6.43/1.67 % (2685234)Instructions burned: 4 (million)
% 6.43/1.67 % (2685237)dis-21_1_sil=8000:lcm=predicate:random_seed=1145700914:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.43/1.67 % (2685235)Instruction limit reached!
% 6.43/1.67 % (2685235)------------------------------
% 6.43/1.67 % (2685235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685235)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685235)Termination reason: Instruction limit
% 6.43/1.67 % (2685235)Termination phase: Saturation
% 6.43/1.67 % (2685235)Time elapsed: 0.060 s
% 6.43/1.67 % (2685235)Peak memory usage: 88 MB
% 6.43/1.67 % (2685235)Instructions burned: 121 (million)
% 6.43/1.67 % (2685237)Instruction limit reached!
% 6.43/1.67 % (2685237)------------------------------
% 6.43/1.67 % (2685237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685237)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685237)Termination reason: Instruction limit
% 6.43/1.67 % (2685237)Termination phase: Saturation
% 6.43/1.67 % (2685237)Time elapsed: 0.075 s
% 6.43/1.67 % (2685237)Peak memory usage: 90 MB
% 6.43/1.67 % (2685237)Instructions burned: 129 (million)
% 6.43/1.67 % (2685236)Instruction limit reached!
% 6.43/1.67 % (2685236)------------------------------
% 6.43/1.67 % (2685236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685236)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685236)Termination reason: Instruction limit
% 6.43/1.67 % (2685236)Termination phase: Saturation
% 6.43/1.67 % (2685236)Time elapsed: 0.100 s
% 6.43/1.67 % (2685236)Peak memory usage: 90 MB
% 6.43/1.67 % (2685236)Instructions burned: 140 (million)
% 6.43/1.67 % (2685245)lrs+10_1_sil=8000:sp=occurrence:random_seed=2428610559:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.43/1.67 % (2685246)lrs+10_1_sil=32000:urr=on:br=off:random_seed=709546142:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.43/1.67 % (2685247)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3037686676:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.43/1.67 % (2685234)------------------------------
% 6.43/1.67 % (2685234)------------------------------
% 6.43/1.67 % (2685246)Instruction limit reached!
% 6.43/1.67 % (2685246)------------------------------
% 6.43/1.67 % (2685246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685246)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685246)Termination reason: Instruction limit
% 6.43/1.67 % (2685246)Termination phase: Saturation
% 6.43/1.67 % (2685246)Time elapsed: 0.090 s
% 6.43/1.67 % (2685246)Peak memory usage: 89 MB
% 6.43/1.67 % (2685246)Instructions burned: 157 (million)
% 6.43/1.67 % (2685251)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2725303534:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.43/1.67 % (2685245)Instruction limit reached!
% 6.43/1.67 % (2685245)------------------------------
% 6.43/1.67 % (2685245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685245)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685245)Termination reason: Instruction limit
% 6.43/1.67 % (2685245)Termination phase: Saturation
% 6.43/1.67 % (2685245)Time elapsed: 0.186 s
% 6.43/1.67 % (2685245)Peak memory usage: 92 MB
% 6.43/1.67 % (2685245)Instructions burned: 286 (million)
% 6.43/1.67 % (2685252)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=820764200:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.43/1.67 % (2685247)Instruction limit reached!
% 6.43/1.67 % (2685247)------------------------------
% 6.43/1.67 % (2685247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685247)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685247)Termination reason: Instruction limit
% 6.43/1.67 % (2685247)Termination phase: Saturation
% 6.43/1.67 % (2685247)Time elapsed: 0.219 s
% 6.43/1.67 % (2685247)Peak memory usage: 91 MB
% 6.43/1.67 % (2685247)Instructions burned: 325 (million)
% 6.43/1.67 % (2685251)Instruction limit reached!
% 6.43/1.67 % (2685251)------------------------------
% 6.43/1.67 % (2685251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685251)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685251)Termination reason: Instruction limit
% 6.43/1.67 % (2685251)Termination phase: Saturation
% 6.43/1.67 % (2685251)Time elapsed: 0.146 s
% 6.43/1.67 % (2685251)Peak memory usage: 92 MB
% 6.43/1.67 % (2685251)Instructions burned: 249 (million)
% 6.43/1.67 % (2685254)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=265937397:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.43/1.67 % (2685252)Instruction limit reached!
% 6.43/1.67 % (2685252)------------------------------
% 6.43/1.67 % (2685252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685252)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685252)Termination reason: Instruction limit
% 6.43/1.67 % (2685252)Termination phase: Saturation
% 6.43/1.67 % (2685252)Time elapsed: 0.128 s
% 6.43/1.67 % (2685252)Peak memory usage: 88 MB
% 6.43/1.67 % (2685252)Instructions burned: 296 (million)
% 6.43/1.67 % (2685256)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=349411340:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.43/1.67 % (2685258)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1928592968:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.43/1.67 % (2685256)Instruction limit reached!
% 6.43/1.67 % (2685256)------------------------------
% 6.43/1.67 % (2685256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685256)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685256)Termination reason: Instruction limit
% 6.43/1.67 % (2685256)Termination phase: Saturation
% 6.43/1.67 % (2685256)Time elapsed: 0.074 s
% 6.43/1.67 % (2685256)Peak memory usage: 91 MB
% 6.43/1.67 % (2685256)Instructions burned: 114 (million)
% 6.43/1.67 % (2685233)First to succeed.
% 6.43/1.67 % (2685233)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2685226"
% 6.43/1.67 % (2685259)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3046223756:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.43/1.67 % (2685258)Instruction limit reached!
% 6.43/1.67 % (2685258)------------------------------
% 6.43/1.67 % (2685258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685258)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685258)Termination reason: Instruction limit
% 6.43/1.67 % (2685258)Termination phase: Saturation
% 6.43/1.67 % (2685258)Time elapsed: 0.066 s
% 6.43/1.67 % (2685258)Peak memory usage: 89 MB
% 6.43/1.67 % (2685258)Instructions burned: 127 (million)
% 6.43/1.67 % (2685259)Instruction limit reached!
% 6.43/1.67 % (2685259)------------------------------
% 6.43/1.67 % (2685259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.67 % (2685259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.67 % (2685259)CaDiCaL version: 2.1.3
% 6.43/1.67 % (2685259)Termination reason: Instruction limit
% 6.43/1.67 % (2685259)Termination phase: Saturation
% 6.43/1.67 % (2685259)Time elapsed: 0.072 s
% 6.43/1.67 % (2685259)Peak memory usage: 89 MB
% 6.43/1.67 % (2685259)Instructions burned: 115 (million)
% 6.43/1.67 % (2685231)Also succeeded, but the first one will report.
% 6.43/1.67 % (2685262)lrs+10_1_sil=8000:sp=occurrence:random_seed=3091848624:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.43/1.67 % (2685232)Also succeeded, but the first one will report.
% 6.43/1.67 % (2685233)Refutation found. Thanks to Tanya!
% 6.43/1.67 % SZS status Theorem for theBenchmark
% 6.43/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 7.48/1.77 % (2685233)------------------------------
% 7.48/1.77 % (2685233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.77 % (2685233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.77 % (2685233)CaDiCaL version: 2.1.3
% 7.48/1.77 % (2685233)Termination reason: Refutation
% 7.48/1.77 % (2685233)Time elapsed: 0.711 s
% 7.48/1.77 % (2685233)Peak memory usage: 140 MB
% 7.48/1.77 % (2685233)Instructions burned: 1946 (million)
% 7.48/1.77 % (2685233)------------------------------
% 7.48/1.77 % (2685233)------------------------------
% 7.48/1.77 % (2685226)Success in time 0.993 s
% 7.48/1.77 % Vampire exiting
%------------------------------------------------------------------------------